Differential Transform Method as an Effective Tool for Investigating Fractional Dynamical Systems

This study investigates the use of differential transform method (DTM) for integrating Rössler system fractional order. Preliminary studies integer-order system, with reference to other well-established integration methods, made it possible assess quality and determine optimal parameter values that should be used when a different dynamic characteristics. Bifurcation diagrams obtained show that, compared RK4 scheme-based integration, DTM results are more resistant changes in fractionality system.